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Popular >

f(z)=sin(3z)

Solution

f (z) = sin (3 z)

Solution

Period : \frac{2 π}{3}

Domain : - \infty < z < \infty

Range : - 1 \leq f (z) \leq 1

X Intercepts : (\frac{2 πn}{3}, 0), (\frac{π}{3} + \frac{2 πn}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{6} + \frac{2 π}{3} n, 1), Minimum (\frac{π}{2} + \frac{2 π}{3} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (3 z) : \frac{2 π}{3}

Domain of

sin (3 z) : - \infty < z < \infty

Range of

sin (3 z) : - 1 \leq f (z) \leq 1

Axis interception points of

sin (3 z) :

X Intercepts

: (\frac{2 πn}{3}, 0), (\frac{π}{3} + \frac{2 πn}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (3 z) :

None

Extreme Points of

sin (3 z) :

Maximum

(\frac{π}{6} + \frac{2 π}{3} n, 1),

Minimum

(\frac{π}{2} + \frac{2 π}{3} n, - 1)

Popular Examples

f (x) = x^{2} + 11 x - 2

P(x)=x^3+3x^2-4x-12

P (x) = x^{3} + 3 x^{2} - 4 x - 12

f(n)=3n^2-15n+18

f (n) = 3 n^{2} - 15 n + 18

y=-1+2sin(pi(3-4x))

y = - 1 + 2 sin (π (3 - 4 x))

f (- 2) = - x^{2} - 9 x

Frequently Asked Questions (FAQ)

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